English

Pauli effects in uncertainty relations

Quantum Physics 2016-10-07 v1 Atomic Physics

Abstract

In this letter we analyze the effect of the spin dimensionality of a physical system in two mathematical formulations of the uncertainty principle: a generalized Heisenberg uncertainty relation valid for all antisymmetric N-fermion wavefunctions, and the Fisher-information- based uncertainty relation valid for all antisymmetric N-fermion wavefunctions of central potentials. The accuracy of these spin-modified uncertainty relations is examined for all atoms from Hydrogen to Lawrencium in a self-consistent framework.

Keywords

Cite

@article{arxiv.1409.1546,
  title  = {Pauli effects in uncertainty relations},
  author = {I. V. Toranzo and P. Sánchez-Morenob and R. O. Esquivel and J. S. Dehesa},
  journal= {arXiv preprint arXiv:1409.1546},
  year   = {2016}
}

Comments

9 pages, 2 figures

R2 v1 2026-06-22T05:48:53.319Z